Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2012; 27(3): 591-602

Printed September 1, 2012

https://doi.org/10.4134/CKMS.2012.27.3.591

Copyright © The Korean Mathematical Society.

Integrability of distributions in $GCR$-lightlike submanifolds of indefinite Kaehler manifolds

Rakesh Kumar, Sangeet Kumar, and Rakesh Kumar Nagaich

Punjabi University, Rayat Institute of Engineering $\&$ Information Technology, Punjabi University

Abstract

In present paper we establish conditions for the integrability of various distributions of $GCR$-lightlike submanifolds and obtain conditions for the distributions to define totally geodesic foliations in $GCR$-lightlike submanifolds.

Keywords: indefinite Kaehler manifold, $GCR$-lightlike submanifold, integrability of distributions

MSC numbers: 53C15, 53C40, 53C50

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